✦ LIBER ✦

Smoothing algorithms for nonlinear distributed parameter systems

✍ Scribed by R. Sahgal; R.P. Webb

Publisher: Elsevier Science
Year: 1976
Tongue: English
Weight: 659 KB
Volume: 12
Category: Article
ISSN: 0005-1098
DOI: 10.1016/0005-1098(76)90023-6

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✦ Synopsis

Smoothing algorithms for nonlinear distributed systems, can substantially reduce the error covariance vis-tt-vis filtering.

SnmmarT--Fixed interval and fixed-lag smoothing algorithms are developed for a class of noisy nonlinear dism'buted parameter systems with unknown volume disturbances. Using a least-squares estimation criterion a two point boundary value problem is obtained. The solution of this boundary value problem is obtained by converting it into an initial value problem using a Riccati transformation. Using a Gaussian assumption for the disturbances, approximate error covariunce expressions are developed. The possible instability of the fixed-lag smoothing algorithm is noted. An alternate fixed-interval algorithm is developed to obviate storage requirements. The appficability of these algorithms is illustrated with an example from nuclear reactor kinetics.

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